- 1 Determine Whether The Following Vectors Written In Cartesian Coordinates Are Linearly Independent Or Not In Each C 1 (135.96 KiB) Viewed 108 times
1. Determine whether the following vectors, written in Cartesian coordinates, are linearly independent or not. In each case, justify your answer. (a) v = (0.37,0.41, -0.92), ū2 = (5.38, 2.32, 0.92), V3 = (–2.54, 0.76, 0.62) (b) ✓ = (6.43, -0.38, 7.89), ū2 = (-0.43, -6.51,0.57), Ū3 = (0.69,-0.94, 3.31) (C) ✓ = (2.86, 2.15, 2.08), Ū2 = (9.94, 4.60, 6.76), ū3 = (1.36, -1.15, -4.84) 2. Prove that if a, b, care mutually orthogonal, than an arbitrary vector ū can be written as 7. + - V = ū .a Job á + b + ā. b.b (1) č. zo C.